Energy Gaps in a Spacetime Crystal (paper title)

L.P. Horwitz, E.Z. Engelberg
(Submitted on 14 Oct 2009)
This paper presents an analysis of the band structure of a spacetime potential lattice created by a standing electromagnetic wave. We show that there are energy band gaps. We estimate the effect, and propose a measurement that could confirm the existence of such phenomena.

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The idea is simple: space time is treated in a non relativistic way, the light cone is a cavity, populated by photons, where the potential inside it is the energy momentum relation. A band gap is found, under reasonable experimental conditions!